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Finding the Fourth Proportional to 348.62, 523.02 and 105.15

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Solution

The fourth proportional to 348.62, 523.02 and 105.15 is: 157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.62 : 523.02 = 105.15 : x
  2. Step 2: Convert to fraction form
    348.62/523.02 = 105.15/x
  3. Step 3: Cross multiply
    348.62x = 523.02 × 105.15
  4. Step 4: Simplify right side
    348.62x = 54,994.97
  5. Step 5: Solve for x
    x = 54,994.97/348.62
  6. Step 6: Final answer
    x = 157.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.